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On Computing a Likelihood Ratio Test Statistic in Physiological Response Slope Studies
Author(s) -
Watkins A.J.
Publication year - 2000
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/(sici)1521-4036(200005)42:2<197::aid-bimj197>3.0.co;2-q
Subject(s) - statistic , likelihood ratio test , stability (learning theory) , mathematics , test statistic , statistics , basis (linear algebra) , statistical hypothesis testing , maximum likelihood , computer science , machine learning , geometry
We consider a structural model often used as the basis for analysis of response slopes in physiological studies, with particular emphasis on the problem of comparing the slopes for two samples. We simplify some of the calculations leading to a likelihood ratio test statistic for the hypothesis of equality of slopes. We show that these simplifications introduce additional computational stability, and illustrate our remarks in a numerical example.